Solution Found!
Explain all answers clearly, with complete
Chapter , Problem 20SEQ(choose chapter or problem)
Problem 20SEQ
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.
*Mass from Rotation Curves. Study the rotation curve for the spiral galaxy NGC 7541, which is shown in Figure 14.4.
a. Use the orbital velocity law to determine the mass (in solar masses) of NGC 7541 enclosed within a radius of 30,000 light-years from its center. (Hint: 1 light-year = 9.461 × 1015 m.)
b. Use the orbital velocity law to determine the mass of NGC 7541 enclosed within a radius of 60,000 light-years from its center.
c. Based on your answers to parts (a) and (b), what can you conclude about the distribution of mass in this galaxy?
Figure 14.4 Actual rotation curves of four spiral galaxies. They are all nearly flat over a wide range of distances from the center, indicating that dark matter is common in spiral galaxies.
Questions & Answers
QUESTION:
Problem 20SEQ
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.
*Mass from Rotation Curves. Study the rotation curve for the spiral galaxy NGC 7541, which is shown in Figure 14.4.
a. Use the orbital velocity law to determine the mass (in solar masses) of NGC 7541 enclosed within a radius of 30,000 light-years from its center. (Hint: 1 light-year = 9.461 × 1015 m.)
b. Use the orbital velocity law to determine the mass of NGC 7541 enclosed within a radius of 60,000 light-years from its center.
c. Based on your answers to parts (a) and (b), what can you conclude about the distribution of mass in this galaxy?
Figure 14.4 Actual rotation curves of four spiral galaxies. They are all nearly flat over a wide range of distances from the center, indicating that dark matter is common in spiral galaxies.
ANSWER:Solution 20 SEQ
Step 1 of 4:
In this question, we need to find the mass of the galaxies in solar masses using orbital velocity law
Data given
For part (a)
Radius of the spiral galaxy
For part (b)
Radius of the spiral galaxy